How to Find GCF of 35/69, 89/818, 257/736?

GCF of 35/69, 89/818, 257/736

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 35/69, 89/818, 257/736 i.e 1/903072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/69, 89/818, 257/736.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 35/69,89/818,257/736?

Given fractions are 35/69,89/818,257/736

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 35/69,89/818,257/736, numerators are 35,89,257

Denominators are 69,818,736

The GCF of 35,89,257 is 1 .

LCM of 69,818,736 is 903072.

The greatest common factor of 35/69,89/818,257/736 = [GCF of 35,89,257]/[LCM of 69,818,736]= 1/903072

Therefore, the GCF of 35/69,89/818,257/736 is 1/903072.

Greatest Common Factor of 35,89,257

To find the highest common factor of 35,89,257, we have to find the factors of both numbers and list the highest common factor.

The factors of 35 are 1, 5, 7, 35

The factors of 89 are 1, 89

The factors of 257 are 1, 257

The HCF of 35,89,257 is 1.

Lets's calculate GCF of 35,89,257

Greatest Common Factor (GCF) of 35,89,257 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 35,89,257 By Matching Biggest Common Factor Method

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 89

1,89

Now, list down the factors of 257

1,257

Greatest Common Factor

We found the factors 35,89,257 . The biggest common factor number is the GCF number.
So the greatest common factor 35,89,257 is 1.

Lets's calculate LCM of 69,818,736

Lowest Common Multiple of 69,818,736 using Common Division

2	69, 818, 736
23	69, 409, 368
	3, 409, 16

∴ So the LCM of the given numbers is 2 x 23 x 3 x 409 x 16 = 903072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/903072

Therefore, the GCF of Fractions 35/69,89/818,257/736 is 1/903072

Least Common Multiple of 69,818,736 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 69,818,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,818,736) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(69,818,736) x common factors =1 x 46 = 46

LCM(69,818,736) = ( 69 × 818 × 736 ) / 46

LCM(69,818,736) = 41541312 / 46

LCM(69,818,736) = 903072

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FAQs on GCF of Fractions of 35/69, 89/818, 257/736

1. What is the HCF of 35,89,257?

The HCF of 35,89,257 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 35/69, 89/818, 257/736?

Answer: GCF of Numerators as per given numbers 35/69, 89/818, 257/736 is

GCF of Numerators i.e. for 35,89,257 is 1

LCM of denominators i.e. for 69,818,736 is 903072.

Thus, GCF of Fractions is 1/903072.Finally, GCF of Fractions for 35/69, 89/818, 257/736 is 1/903072.